Properties

Label 546.2.bg.b.467.17
Level $546$
Weight $2$
Character 546.467
Analytic conductor $4.360$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bg (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(18\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 467.17
Character \(\chi\) \(=\) 546.467
Dual form 546.2.bg.b.311.17

$q$-expansion

\(f(q)\) \(=\) \(q+(0.500000 - 0.866025i) q^{2} +(1.71668 + 0.230243i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(1.00187 + 0.578432i) q^{5} +(1.05774 - 1.37157i) q^{6} +(-0.296298 + 2.62911i) q^{7} -1.00000 q^{8} +(2.89398 + 0.790508i) q^{9} +O(q^{10})\) \(q+(0.500000 - 0.866025i) q^{2} +(1.71668 + 0.230243i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(1.00187 + 0.578432i) q^{5} +(1.05774 - 1.37157i) q^{6} +(-0.296298 + 2.62911i) q^{7} -1.00000 q^{8} +(2.89398 + 0.790508i) q^{9} +(1.00187 - 0.578432i) q^{10} +(1.85690 + 3.21624i) q^{11} +(-0.658943 - 1.60181i) q^{12} +(-0.361803 - 3.58735i) q^{13} +(2.12873 + 1.57116i) q^{14} +(1.58672 + 1.22366i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(0.0128016 + 0.0221731i) q^{17} +(2.13159 - 2.11100i) q^{18} +(-0.122255 + 0.211752i) q^{19} -1.15686i q^{20} +(-1.11398 + 4.44511i) q^{21} +3.71379 q^{22} +(2.36531 + 1.36561i) q^{23} +(-1.71668 - 0.230243i) q^{24} +(-1.83083 - 3.17109i) q^{25} +(-3.28764 - 1.48035i) q^{26} +(4.78602 + 2.02337i) q^{27} +(2.42502 - 1.05795i) q^{28} -3.51946i q^{29} +(1.85308 - 0.762308i) q^{30} +(-2.24622 - 3.89056i) q^{31} +(0.500000 + 0.866025i) q^{32} +(2.44718 + 5.94879i) q^{33} +0.0256033 q^{34} +(-1.81761 + 2.46265i) q^{35} +(-0.762388 - 2.90151i) q^{36} +(-8.29815 - 4.79094i) q^{37} +(0.122255 + 0.211752i) q^{38} +(0.204865 - 6.24164i) q^{39} +(-1.00187 - 0.578432i) q^{40} +0.471512i q^{41} +(3.29259 + 3.18729i) q^{42} -1.24061 q^{43} +(1.85690 - 3.21624i) q^{44} +(2.44214 + 2.46596i) q^{45} +(2.36531 - 1.36561i) q^{46} +(0.203606 + 0.117552i) q^{47} +(-1.05774 + 1.37157i) q^{48} +(-6.82442 - 1.55800i) q^{49} -3.66166 q^{50} +(0.0168711 + 0.0410116i) q^{51} +(-2.92584 + 2.10701i) q^{52} +(-6.44560 + 3.72137i) q^{53} +(4.14530 - 3.13313i) q^{54} +4.29635i q^{55} +(0.296298 - 2.62911i) q^{56} +(-0.258628 + 0.335362i) q^{57} +(-3.04794 - 1.75973i) q^{58} +(2.80431 - 1.61907i) q^{59} +(0.266360 - 1.98597i) q^{60} +(10.2453 + 5.91511i) q^{61} -4.49243 q^{62} +(-2.93581 + 7.37435i) q^{63} +1.00000 q^{64} +(1.71256 - 3.80335i) q^{65} +(6.37539 + 0.855076i) q^{66} +(6.24108 - 3.60329i) q^{67} +(0.0128016 - 0.0221731i) q^{68} +(3.74606 + 2.88892i) q^{69} +(1.22391 + 2.80542i) q^{70} -14.6757 q^{71} +(-2.89398 - 0.790508i) q^{72} +(-0.784266 - 1.35839i) q^{73} +(-8.29815 + 4.79094i) q^{74} +(-2.41283 - 5.86529i) q^{75} +0.244511 q^{76} +(-9.00603 + 3.92901i) q^{77} +(-5.30298 - 3.29824i) q^{78} +(3.01266 - 5.21808i) q^{79} +(-1.00187 + 0.578432i) q^{80} +(7.75019 + 4.57542i) q^{81} +(0.408341 + 0.235756i) q^{82} -3.64267i q^{83} +(4.40657 - 1.25782i) q^{84} +0.0296195i q^{85} +(-0.620304 + 1.07440i) q^{86} +(0.810333 - 6.04179i) q^{87} +(-1.85690 - 3.21624i) q^{88} +(8.11911 + 4.68757i) q^{89} +(3.35666 - 0.881980i) q^{90} +(9.53874 + 0.111706i) q^{91} -2.73122i q^{92} +(-2.96026 - 7.19602i) q^{93} +(0.203606 - 0.117552i) q^{94} +(-0.244969 + 0.141433i) q^{95} +(0.658943 + 1.60181i) q^{96} -12.7955 q^{97} +(-4.76147 + 5.13112i) q^{98} +(2.83135 + 10.7756i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q + 18q^{2} - 18q^{4} - 36q^{8} + 4q^{9} + O(q^{10}) \) \( 36q + 18q^{2} - 18q^{4} - 36q^{8} + 4q^{9} + 14q^{15} - 18q^{16} - 4q^{18} - 23q^{21} + 14q^{25} + 6q^{26} + 7q^{30} + 18q^{32} - 24q^{33} - 8q^{36} + 10q^{39} - 16q^{42} - 16q^{43} + 9q^{45} - 72q^{47} + 12q^{49} + 28q^{50} - 3q^{51} + 6q^{52} - 9q^{54} + 8q^{57} - 24q^{59} - 7q^{60} - 36q^{61} + 39q^{63} + 36q^{64} - 18q^{65} - 24q^{66} + 72q^{71} - 4q^{72} + 54q^{75} + 20q^{78} + 20q^{79} - 20q^{81} - 24q^{82} + 7q^{84} - 8q^{86} - 24q^{87} + 72q^{89} - 2q^{91} + 14q^{93} - 72q^{94} + 12q^{98} - 72q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(-1\) \(-1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.500000 0.866025i 0.353553 0.612372i
\(3\) 1.71668 + 0.230243i 0.991125 + 0.132931i
\(4\) −0.500000 0.866025i −0.250000 0.433013i
\(5\) 1.00187 + 0.578432i 0.448052 + 0.258683i 0.707007 0.707206i \(-0.250045\pi\)
−0.258955 + 0.965889i \(0.583378\pi\)
\(6\) 1.05774 1.37157i 0.431819 0.559940i
\(7\) −0.296298 + 2.62911i −0.111990 + 0.993709i
\(8\) −1.00000 −0.353553
\(9\) 2.89398 + 0.790508i 0.964659 + 0.263503i
\(10\) 1.00187 0.578432i 0.316820 0.182916i
\(11\) 1.85690 + 3.21624i 0.559875 + 0.969732i 0.997506 + 0.0705774i \(0.0224842\pi\)
−0.437631 + 0.899155i \(0.644182\pi\)
\(12\) −0.658943 1.60181i −0.190220 0.462403i
\(13\) −0.361803 3.58735i −0.100346 0.994953i
\(14\) 2.12873 + 1.57116i 0.568926 + 0.419909i
\(15\) 1.58672 + 1.22366i 0.409688 + 0.315947i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) 0.0128016 + 0.0221731i 0.00310485 + 0.00537776i 0.867574 0.497309i \(-0.165678\pi\)
−0.864469 + 0.502686i \(0.832345\pi\)
\(18\) 2.13159 2.11100i 0.502420 0.497568i
\(19\) −0.122255 + 0.211752i −0.0280473 + 0.0485793i −0.879708 0.475514i \(-0.842262\pi\)
0.851661 + 0.524093i \(0.175596\pi\)
\(20\) 1.15686i 0.258683i
\(21\) −1.11398 + 4.44511i −0.243091 + 0.970003i
\(22\) 3.71379 0.791783
\(23\) 2.36531 + 1.36561i 0.493201 + 0.284750i 0.725902 0.687799i \(-0.241423\pi\)
−0.232700 + 0.972548i \(0.574756\pi\)
\(24\) −1.71668 0.230243i −0.350416 0.0469982i
\(25\) −1.83083 3.17109i −0.366166 0.634219i
\(26\) −3.28764 1.48035i −0.644759 0.290320i
\(27\) 4.78602 + 2.02337i 0.921070 + 0.389397i
\(28\) 2.42502 1.05795i 0.458286 0.199934i
\(29\) 3.51946i 0.653548i −0.945103 0.326774i \(-0.894038\pi\)
0.945103 0.326774i \(-0.105962\pi\)
\(30\) 1.85308 0.762308i 0.338324 0.139178i
\(31\) −2.24622 3.89056i −0.403432 0.698765i 0.590705 0.806887i \(-0.298850\pi\)
−0.994138 + 0.108122i \(0.965516\pi\)
\(32\) 0.500000 + 0.866025i 0.0883883 + 0.153093i
\(33\) 2.44718 + 5.94879i 0.425999 + 1.03555i
\(34\) 0.0256033 0.00439092
\(35\) −1.81761 + 2.46265i −0.307233 + 0.416263i
\(36\) −0.762388 2.90151i −0.127065 0.483585i
\(37\) −8.29815 4.79094i −1.36421 0.787625i −0.374026 0.927418i \(-0.622023\pi\)
−0.990181 + 0.139793i \(0.955356\pi\)
\(38\) 0.122255 + 0.211752i 0.0198324 + 0.0343508i
\(39\) 0.204865 6.24164i 0.0328046 0.999462i
\(40\) −1.00187 0.578432i −0.158410 0.0914582i
\(41\) 0.471512i 0.0736377i 0.999322 + 0.0368189i \(0.0117225\pi\)
−0.999322 + 0.0368189i \(0.988278\pi\)
\(42\) 3.29259 + 3.18729i 0.508058 + 0.491810i
\(43\) −1.24061 −0.189191 −0.0945955 0.995516i \(-0.530156\pi\)
−0.0945955 + 0.995516i \(0.530156\pi\)
\(44\) 1.85690 3.21624i 0.279937 0.484866i
\(45\) 2.44214 + 2.46596i 0.364053 + 0.367603i
\(46\) 2.36531 1.36561i 0.348746 0.201349i
\(47\) 0.203606 + 0.117552i 0.0296990 + 0.0171467i 0.514776 0.857325i \(-0.327875\pi\)
−0.485077 + 0.874471i \(0.661208\pi\)
\(48\) −1.05774 + 1.37157i −0.152671 + 0.197969i
\(49\) −6.82442 1.55800i −0.974916 0.222571i
\(50\) −3.66166 −0.517837
\(51\) 0.0168711 + 0.0410116i 0.00236243 + 0.00574277i
\(52\) −2.92584 + 2.10701i −0.405741 + 0.292189i
\(53\) −6.44560 + 3.72137i −0.885372 + 0.511170i −0.872426 0.488747i \(-0.837454\pi\)
−0.0129459 + 0.999916i \(0.504121\pi\)
\(54\) 4.14530 3.13313i 0.564104 0.426365i
\(55\) 4.29635i 0.579320i
\(56\) 0.296298 2.62911i 0.0395945 0.351329i
\(57\) −0.258628 + 0.335362i −0.0342561 + 0.0444198i
\(58\) −3.04794 1.75973i −0.400215 0.231064i
\(59\) 2.80431 1.61907i 0.365090 0.210785i −0.306221 0.951960i \(-0.599065\pi\)
0.671311 + 0.741176i \(0.265731\pi\)
\(60\) 0.266360 1.98597i 0.0343870 0.256387i
\(61\) 10.2453 + 5.91511i 1.31177 + 0.757353i 0.982390 0.186844i \(-0.0598258\pi\)
0.329384 + 0.944196i \(0.393159\pi\)
\(62\) −4.49243 −0.570539
\(63\) −2.93581 + 7.37435i −0.369877 + 0.929081i
\(64\) 1.00000 0.125000
\(65\) 1.71256 3.80335i 0.212417 0.471748i
\(66\) 6.37539 + 0.855076i 0.784756 + 0.105253i
\(67\) 6.24108 3.60329i 0.762469 0.440212i −0.0677122 0.997705i \(-0.521570\pi\)
0.830182 + 0.557493i \(0.188237\pi\)
\(68\) 0.0128016 0.0221731i 0.00155243 0.00268888i
\(69\) 3.74606 + 2.88892i 0.450972 + 0.347785i
\(70\) 1.22391 + 2.80542i 0.146285 + 0.335312i
\(71\) −14.6757 −1.74168 −0.870841 0.491564i \(-0.836425\pi\)
−0.870841 + 0.491564i \(0.836425\pi\)
\(72\) −2.89398 0.790508i −0.341058 0.0931623i
\(73\) −0.784266 1.35839i −0.0917914 0.158987i 0.816474 0.577383i \(-0.195926\pi\)
−0.908265 + 0.418395i \(0.862593\pi\)
\(74\) −8.29815 + 4.79094i −0.964640 + 0.556935i
\(75\) −2.41283 5.86529i −0.278609 0.677265i
\(76\) 0.244511 0.0280473
\(77\) −9.00603 + 3.92901i −1.02633 + 0.447753i
\(78\) −5.30298 3.29824i −0.600445 0.373452i
\(79\) 3.01266 5.21808i 0.338951 0.587080i −0.645285 0.763942i \(-0.723261\pi\)
0.984236 + 0.176862i \(0.0565946\pi\)
\(80\) −1.00187 + 0.578432i −0.112013 + 0.0646707i
\(81\) 7.75019 + 4.57542i 0.861133 + 0.508380i
\(82\) 0.408341 + 0.235756i 0.0450937 + 0.0260349i
\(83\) 3.64267i 0.399835i −0.979813 0.199917i \(-0.935933\pi\)
0.979813 0.199917i \(-0.0640673\pi\)
\(84\) 4.40657 1.25782i 0.480797 0.137239i
\(85\) 0.0296195i 0.00321269i
\(86\) −0.620304 + 1.07440i −0.0668891 + 0.115855i
\(87\) 0.810333 6.04179i 0.0868768 0.647748i
\(88\) −1.85690 3.21624i −0.197946 0.342852i
\(89\) 8.11911 + 4.68757i 0.860623 + 0.496881i 0.864221 0.503112i \(-0.167812\pi\)
−0.00359755 + 0.999994i \(0.501145\pi\)
\(90\) 3.35666 0.881980i 0.353823 0.0929688i
\(91\) 9.53874 + 0.111706i 0.999931 + 0.0117100i
\(92\) 2.73122i 0.284750i
\(93\) −2.96026 7.19602i −0.306964 0.746193i
\(94\) 0.203606 0.117552i 0.0210004 0.0121246i
\(95\) −0.244969 + 0.141433i −0.0251333 + 0.0145107i
\(96\) 0.658943 + 1.60181i 0.0672531 + 0.163484i
\(97\) −12.7955 −1.29918 −0.649591 0.760284i \(-0.725060\pi\)
−0.649591 + 0.760284i \(0.725060\pi\)
\(98\) −4.76147 + 5.13112i −0.480981 + 0.518321i
\(99\) 2.83135 + 10.7756i 0.284561 + 1.08299i
\(100\) −1.83083 + 3.17109i −0.183083 + 0.317109i
\(101\) −5.03494 8.72077i −0.500995 0.867749i −0.999999 0.00114938i \(-0.999634\pi\)
0.499004 0.866600i \(-0.333699\pi\)
\(102\) 0.0439526 + 0.00589498i 0.00435196 + 0.000583690i
\(103\) 8.82256 + 5.09371i 0.869313 + 0.501898i 0.867120 0.498099i \(-0.165969\pi\)
0.00219314 + 0.999998i \(0.499302\pi\)
\(104\) 0.361803 + 3.58735i 0.0354777 + 0.351769i
\(105\) −3.68727 + 3.80908i −0.359841 + 0.371728i
\(106\) 7.44274i 0.722903i
\(107\) −15.7423 9.08881i −1.52186 0.878648i −0.999667 0.0258233i \(-0.991779\pi\)
−0.522197 0.852825i \(-0.674887\pi\)
\(108\) −0.640722 5.15650i −0.0616535 0.496184i
\(109\) 2.40616 1.38920i 0.230469 0.133061i −0.380320 0.924855i \(-0.624186\pi\)
0.610788 + 0.791794i \(0.290853\pi\)
\(110\) 3.72075 + 2.14818i 0.354760 + 0.204821i
\(111\) −13.1422 10.1351i −1.24740 0.961981i
\(112\) −2.12873 1.57116i −0.201146 0.148460i
\(113\) 18.6367i 1.75319i 0.481229 + 0.876595i \(0.340191\pi\)
−0.481229 + 0.876595i \(0.659809\pi\)
\(114\) 0.161119 + 0.391659i 0.0150901 + 0.0366823i
\(115\) 1.57983 + 2.73634i 0.147320 + 0.255165i
\(116\) −3.04794 + 1.75973i −0.282995 + 0.163387i
\(117\) 1.78878 10.6677i 0.165373 0.986231i
\(118\) 3.23814i 0.298095i
\(119\) −0.0620885 + 0.0270870i −0.00569164 + 0.00248306i
\(120\) −1.58672 1.22366i −0.144847 0.111704i
\(121\) −1.39612 + 2.41815i −0.126920 + 0.219832i
\(122\) 10.2453 5.91511i 0.927564 0.535529i
\(123\) −0.108562 + 0.809434i −0.00978874 + 0.0729842i
\(124\) −2.24622 + 3.89056i −0.201716 + 0.349383i
\(125\) 10.0204i 0.896249i
\(126\) 4.91847 + 6.22966i 0.438172 + 0.554982i
\(127\) −8.83042 −0.783573 −0.391787 0.920056i \(-0.628143\pi\)
−0.391787 + 0.920056i \(0.628143\pi\)
\(128\) 0.500000 0.866025i 0.0441942 0.0765466i
\(129\) −2.12973 0.285642i −0.187512 0.0251494i
\(130\) −2.43752 3.38480i −0.213785 0.296866i
\(131\) −7.07051 + 12.2465i −0.617753 + 1.06998i 0.372141 + 0.928176i \(0.378624\pi\)
−0.989895 + 0.141804i \(0.954710\pi\)
\(132\) 3.92821 5.09371i 0.341907 0.443351i
\(133\) −0.520496 0.384164i −0.0451327 0.0333113i
\(134\) 7.20658i 0.622554i
\(135\) 3.62461 + 4.79555i 0.311957 + 0.412735i
\(136\) −0.0128016 0.0221731i −0.00109773 0.00190133i
\(137\) 6.70701 + 11.6169i 0.573019 + 0.992498i 0.996254 + 0.0864777i \(0.0275611\pi\)
−0.423235 + 0.906020i \(0.639106\pi\)
\(138\) 4.37490 1.79972i 0.372416 0.153202i
\(139\) 15.0565i 1.27708i 0.769589 + 0.638539i \(0.220461\pi\)
−0.769589 + 0.638539i \(0.779539\pi\)
\(140\) 3.04152 + 0.342777i 0.257056 + 0.0289699i
\(141\) 0.322461 + 0.248678i 0.0271561 + 0.0209425i
\(142\) −7.33784 + 12.7095i −0.615778 + 1.06656i
\(143\) 10.8659 7.82498i 0.908656 0.654358i
\(144\) −2.13159 + 2.11100i −0.177632 + 0.175917i
\(145\) 2.03577 3.52606i 0.169062 0.292823i
\(146\) −1.56853 −0.129813
\(147\) −11.3566 4.24586i −0.936678 0.350193i
\(148\) 9.58187i 0.787625i
\(149\) −4.72601 + 8.18569i −0.387170 + 0.670598i −0.992068 0.125705i \(-0.959881\pi\)
0.604898 + 0.796303i \(0.293214\pi\)
\(150\) −6.28590 0.843074i −0.513242 0.0688367i
\(151\) 12.9798 7.49388i 1.05628 0.609843i 0.131878 0.991266i \(-0.457899\pi\)
0.924401 + 0.381423i \(0.124566\pi\)
\(152\) 0.122255 0.211752i 0.00991621 0.0171754i
\(153\) 0.0195196 + 0.0742882i 0.00157807 + 0.00600584i
\(154\) −1.10039 + 9.76396i −0.0886718 + 0.786802i
\(155\) 5.19714i 0.417444i
\(156\) −5.50785 + 2.94340i −0.440981 + 0.235661i
\(157\) 1.50376 0.868197i 0.120013 0.0692896i −0.438792 0.898589i \(-0.644593\pi\)
0.558805 + 0.829299i \(0.311260\pi\)
\(158\) −3.01266 5.21808i −0.239674 0.415128i
\(159\) −11.9219 + 4.90434i −0.945465 + 0.388940i
\(160\) 1.15686i 0.0914582i
\(161\) −4.29118 + 5.81403i −0.338192 + 0.458210i
\(162\) 7.83753 4.42415i 0.615774 0.347594i
\(163\) 11.0173 + 6.36085i 0.862943 + 0.498221i 0.864997 0.501777i \(-0.167320\pi\)
−0.00205345 + 0.999998i \(0.500654\pi\)
\(164\) 0.408341 0.235756i 0.0318861 0.0184094i
\(165\) −0.989207 + 7.37546i −0.0770097 + 0.574179i
\(166\) −3.15464 1.82133i −0.244848 0.141363i
\(167\) 6.85544i 0.530490i −0.964181 0.265245i \(-0.914547\pi\)
0.964181 0.265245i \(-0.0854528\pi\)
\(168\) 1.11398 4.44511i 0.0859457 0.342948i
\(169\) −12.7382 + 2.59583i −0.979861 + 0.199679i
\(170\) 0.0256513 + 0.0148098i 0.00196736 + 0.00113586i
\(171\) −0.521196 + 0.516163i −0.0398568 + 0.0394719i
\(172\) 0.620304 + 1.07440i 0.0472977 + 0.0819221i
\(173\) 7.79711 13.5050i 0.592803 1.02677i −0.401049 0.916056i \(-0.631354\pi\)
0.993853 0.110709i \(-0.0353122\pi\)
\(174\) −4.82718 3.72266i −0.365947 0.282214i
\(175\) 8.87962 3.87387i 0.671236 0.292837i
\(176\) −3.71379 −0.279937
\(177\) 5.18688 2.13375i 0.389870 0.160382i
\(178\) 8.11911 4.68757i 0.608553 0.351348i
\(179\) 3.42830 1.97933i 0.256243 0.147942i −0.366377 0.930467i \(-0.619402\pi\)
0.622620 + 0.782525i \(0.286068\pi\)
\(180\) 0.914511 3.34794i 0.0681636 0.249541i
\(181\) 0.429161i 0.0318992i 0.999873 + 0.0159496i \(0.00507714\pi\)
−0.999873 + 0.0159496i \(0.994923\pi\)
\(182\) 4.86611 8.20494i 0.360700 0.608190i
\(183\) 16.2259 + 12.5133i 1.19946 + 0.925007i
\(184\) −2.36531 1.36561i −0.174373 0.100674i
\(185\) −5.54247 9.59983i −0.407490 0.705794i
\(186\) −7.71207 1.03435i −0.565476 0.0758424i
\(187\) −0.0475426 + 0.0823462i −0.00347666 + 0.00602175i
\(188\) 0.235104i 0.0171467i
\(189\) −6.73774 + 11.9834i −0.490098 + 0.871667i
\(190\) 0.282866i 0.0205212i
\(191\) −1.57425 0.908893i −0.113909 0.0657652i 0.441963 0.897033i \(-0.354282\pi\)
−0.555872 + 0.831268i \(0.687615\pi\)
\(192\) 1.71668 + 0.230243i 0.123891 + 0.0166164i
\(193\) −17.1426 + 9.89729i −1.23395 + 0.712422i −0.967851 0.251523i \(-0.919069\pi\)
−0.266100 + 0.963945i \(0.585735\pi\)
\(194\) −6.39773 + 11.0812i −0.459330 + 0.795583i
\(195\) 3.81561 6.13483i 0.273242 0.439325i
\(196\) 2.06294 + 6.68912i 0.147353 + 0.477794i
\(197\) −25.2444 −1.79859 −0.899296 0.437341i \(-0.855920\pi\)
−0.899296 + 0.437341i \(0.855920\pi\)
\(198\) 10.7476 + 2.93578i 0.763800 + 0.208637i
\(199\) −5.33963 + 3.08284i −0.378517 + 0.218537i −0.677173 0.735824i \(-0.736795\pi\)
0.298656 + 0.954361i \(0.403462\pi\)
\(200\) 1.83083 + 3.17109i 0.129459 + 0.224230i
\(201\) 11.5436 4.74873i 0.814221 0.334949i
\(202\) −10.0699 −0.708514
\(203\) 9.25305 + 1.04281i 0.649437 + 0.0731909i
\(204\) 0.0270815 0.0351166i 0.00189608 0.00245865i
\(205\) −0.272738 + 0.472395i −0.0190488 + 0.0329935i
\(206\) 8.82256 5.09371i 0.614697 0.354896i
\(207\) 5.76562 + 5.82185i 0.400738 + 0.404646i
\(208\) 3.28764 + 1.48035i 0.227957 + 0.102644i
\(209\) −0.908061 −0.0628119
\(210\) 1.45513 + 5.09781i 0.100413 + 0.351782i
\(211\) −3.98179 −0.274117 −0.137059 0.990563i \(-0.543765\pi\)
−0.137059 + 0.990563i \(0.543765\pi\)
\(212\) 6.44560 + 3.72137i 0.442686 + 0.255585i
\(213\) −25.1934 3.37898i −1.72623 0.231524i
\(214\) −15.7423 + 9.08881i −1.07612 + 0.621298i
\(215\) −1.24293 0.717608i −0.0847673 0.0489405i
\(216\) −4.78602 2.02337i −0.325647 0.137673i
\(217\) 10.8943 4.75278i 0.739550 0.322640i
\(218\) 2.77840i 0.188177i
\(219\) −1.03357 2.51249i −0.0698425 0.169778i
\(220\) 3.72075 2.14818i 0.250853 0.144830i
\(221\) 0.0749110 0.0539463i 0.00503906 0.00362882i
\(222\) −15.3483 + 6.31391i −1.03011 + 0.423762i
\(223\) 2.03477 0.136258 0.0681291 0.997677i \(-0.478297\pi\)
0.0681291 + 0.997677i \(0.478297\pi\)
\(224\) −2.42502 + 1.05795i −0.162029 + 0.0706874i
\(225\) −2.79161 10.6244i −0.186107 0.708290i
\(226\) 16.1398 + 9.31833i 1.07361 + 0.619846i
\(227\) 15.6005 9.00694i 1.03544 0.597812i 0.116902 0.993143i \(-0.462704\pi\)
0.918538 + 0.395332i \(0.129370\pi\)
\(228\) 0.419746 + 0.0562970i 0.0277984 + 0.00372836i
\(229\) 9.36691 16.2240i 0.618983 1.07211i −0.370688 0.928757i \(-0.620878\pi\)
0.989672 0.143353i \(-0.0457884\pi\)
\(230\) 3.15966 0.208342
\(231\) −16.3651 + 4.67128i −1.07674 + 0.307348i
\(232\) 3.51946i 0.231064i
\(233\) 17.0834 + 9.86309i 1.11917 + 0.646152i 0.941189 0.337882i \(-0.109710\pi\)
0.177980 + 0.984034i \(0.443044\pi\)
\(234\) −8.34413 6.88299i −0.545473 0.449955i
\(235\) 0.135992 + 0.235545i 0.00887112 + 0.0153652i
\(236\) −2.80431 1.61907i −0.182545 0.105392i
\(237\) 6.37320 8.26413i 0.413984 0.536813i
\(238\) −0.00758619 + 0.0673137i −0.000491740 + 0.00436330i
\(239\) −20.1417 −1.30286 −0.651428 0.758711i \(-0.725830\pi\)
−0.651428 + 0.758711i \(0.725830\pi\)
\(240\) −1.85308 + 0.762308i −0.119616 + 0.0492068i
\(241\) −11.1359 19.2880i −0.717327 1.24245i −0.962055 0.272855i \(-0.912032\pi\)
0.244729 0.969592i \(-0.421301\pi\)
\(242\) 1.39612 + 2.41815i 0.0897460 + 0.155445i
\(243\) 12.2511 + 9.63897i 0.785911 + 0.618340i
\(244\) 11.8302i 0.757353i
\(245\) −5.93601 5.50838i −0.379238 0.351918i
\(246\) 0.646709 + 0.498735i 0.0412327 + 0.0317982i
\(247\) 0.803863 + 0.361960i 0.0511486 + 0.0230310i
\(248\) 2.24622 + 3.89056i 0.142635 + 0.247051i
\(249\) 0.838700 6.25329i 0.0531504 0.396286i
\(250\) −8.67790 5.01019i −0.548838 0.316872i
\(251\) 20.5563 1.29750 0.648752 0.761000i \(-0.275291\pi\)
0.648752 + 0.761000i \(0.275291\pi\)
\(252\) 7.85428 1.14469i 0.494773 0.0721086i
\(253\) 10.1432i 0.637697i
\(254\) −4.41521 + 7.64737i −0.277035 + 0.479839i
\(255\) −0.00681970 + 0.0508472i −0.000427066 + 0.00318418i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 5.10857 8.84830i 0.318664 0.551942i −0.661546 0.749905i \(-0.730099\pi\)
0.980210 + 0.197963i \(0.0634326\pi\)
\(258\) −1.31224 + 1.70158i −0.0816963 + 0.105936i
\(259\) 15.0546 20.3972i 0.935448 1.26742i
\(260\) −4.15008 + 0.418557i −0.257377 + 0.0259578i
\(261\) 2.78216 10.1852i 0.172212 0.630451i
\(262\) 7.07051 + 12.2465i 0.436818 + 0.756590i
\(263\) 24.3841 14.0782i 1.50359 0.868097i 0.503598 0.863938i \(-0.332009\pi\)
0.999991 0.00415905i \(-0.00132387\pi\)
\(264\) −2.44718 5.94879i −0.150613 0.366122i
\(265\) −8.61025 −0.528923
\(266\) −0.592944 + 0.258681i −0.0363557 + 0.0158607i
\(267\) 12.8586 + 9.91642i 0.786935 + 0.606875i
\(268\) −6.24108 3.60329i −0.381235 0.220106i
\(269\) 14.6822 + 25.4302i 0.895187 + 1.55051i 0.833573 + 0.552409i \(0.186291\pi\)
0.0616140 + 0.998100i \(0.480375\pi\)
\(270\) 5.96537 0.741228i 0.363041 0.0451097i
\(271\) 14.2082 24.6093i 0.863085 1.49491i −0.00585211 0.999983i \(-0.501863\pi\)
0.868937 0.494923i \(-0.164804\pi\)
\(272\) −0.0256033 −0.00155243
\(273\) 16.3492 + 2.38800i 0.989501 + 0.144528i
\(274\) 13.4140 0.810371
\(275\) 6.79933 11.7768i 0.410015 0.710166i
\(276\) 0.628846 4.68864i 0.0378521 0.282223i
\(277\) −13.8268 23.9486i −0.830769 1.43893i −0.897429 0.441159i \(-0.854567\pi\)
0.0666595 0.997776i \(-0.478766\pi\)
\(278\) 13.0393 + 7.52827i 0.782048 + 0.451516i
\(279\) −3.42498 13.0348i −0.205048 0.780375i
\(280\) 1.81761 2.46265i 0.108623 0.147171i
\(281\) −12.3610 −0.737394 −0.368697 0.929550i \(-0.620196\pi\)
−0.368697 + 0.929550i \(0.620196\pi\)
\(282\) 0.376592 0.154920i 0.0224257 0.00922536i
\(283\) 11.8406 6.83616i 0.703849 0.406367i −0.104930 0.994480i \(-0.533462\pi\)
0.808779 + 0.588112i \(0.200129\pi\)
\(284\) 7.33784 + 12.7095i 0.435421 + 0.754171i
\(285\) −0.453097 + 0.186392i −0.0268391 + 0.0110409i
\(286\) −1.34366 13.3227i −0.0794523 0.787786i
\(287\) −1.23965 0.139708i −0.0731745 0.00824669i
\(288\) 0.762388 + 2.90151i 0.0449241 + 0.170973i
\(289\) 8.49967 14.7219i 0.499981 0.865992i
\(290\) −2.03577 3.52606i −0.119545 0.207057i
\(291\) −21.9657 2.94607i −1.28765 0.172702i
\(292\) −0.784266 + 1.35839i −0.0458957 + 0.0794937i
\(293\) 4.20649i 0.245746i 0.992422 + 0.122873i \(0.0392107\pi\)
−0.992422 + 0.122873i \(0.960789\pi\)
\(294\) −9.35533 + 7.71219i −0.545614 + 0.449784i
\(295\) 3.74609 0.218106
\(296\) 8.29815 + 4.79094i 0.482320 + 0.278468i
\(297\) 2.37951 + 19.1502i 0.138073 + 1.11120i
\(298\) 4.72601 + 8.18569i 0.273771 + 0.474184i
\(299\) 4.04316 8.97928i 0.233822 0.519285i
\(300\) −3.87307 + 5.02221i −0.223612 + 0.289958i
\(301\) 0.367590 3.26169i 0.0211875 0.188001i
\(302\) 14.9878i 0.862448i
\(303\) −6.63547 16.1300i −0.381198 0.926646i
\(304\) −0.122255 0.211752i −0.00701182 0.0121448i
\(305\) 6.84299 + 11.8524i 0.391828 + 0.678666i
\(306\) 0.0740952 + 0.0202396i 0.00423574 + 0.00115702i
\(307\) 21.1492 1.20705 0.603524 0.797345i \(-0.293763\pi\)
0.603524 + 0.797345i \(0.293763\pi\)
\(308\) 7.90564 + 5.83494i 0.450466 + 0.332477i
\(309\) 13.9727 + 10.7756i 0.794880 + 0.613003i
\(310\) −4.50085 2.59857i −0.255631 0.147589i
\(311\) 15.6755 + 27.1507i 0.888874 + 1.53957i 0.841208 + 0.540711i \(0.181845\pi\)
0.0476652 + 0.998863i \(0.484822\pi\)
\(312\) −0.204865 + 6.24164i −0.0115982 + 0.353363i
\(313\) 28.3855 + 16.3884i 1.60444 + 0.926325i 0.990584 + 0.136908i \(0.0437165\pi\)
0.613858 + 0.789417i \(0.289617\pi\)
\(314\) 1.73639i 0.0979903i
\(315\) −7.20687 + 5.69000i −0.406061 + 0.320595i
\(316\) −6.02532 −0.338951
\(317\) −11.1137 + 19.2495i −0.624209 + 1.08116i 0.364484 + 0.931210i \(0.381245\pi\)
−0.988693 + 0.149952i \(0.952088\pi\)
\(318\) −1.71364 + 12.7768i −0.0960963 + 0.716487i
\(319\) 11.3194 6.53528i 0.633766 0.365905i
\(320\) 1.00187 + 0.578432i 0.0560065 + 0.0323354i
\(321\) −24.9318 19.2271i −1.39156 1.07315i
\(322\) 2.88951 + 6.62328i 0.161026 + 0.369101i
\(323\) −0.00626027 −0.000348331
\(324\) 0.0873358 8.99958i 0.00485199 0.499976i
\(325\) −10.7134 + 7.71515i −0.594274 + 0.427960i
\(326\) 11.0173 6.36085i 0.610193 0.352295i
\(327\) 4.45046 1.83081i 0.246111 0.101244i
\(328\) 0.471512i 0.0260349i
\(329\) −0.369385 + 0.500472i −0.0203648 + 0.0275919i
\(330\) 5.89273 + 4.54441i 0.324384 + 0.250161i
\(331\) 16.0419 + 9.26179i 0.881742 + 0.509074i 0.871233 0.490871i \(-0.163321\pi\)
0.0105099 + 0.999945i \(0.496655\pi\)
\(332\) −3.15464 + 1.82133i −0.173133 + 0.0999586i
\(333\) −20.2274 20.4246i −1.10845 1.11926i
\(334\) −5.93699 3.42772i −0.324857 0.187557i
\(335\) 8.33704 0.455501
\(336\) −3.29259 3.18729i −0.179626 0.173881i
\(337\) −17.9572 −0.978191 −0.489095 0.872230i \(-0.662673\pi\)
−0.489095 + 0.872230i \(0.662673\pi\)
\(338\) −4.12105 + 12.3295i −0.224155 + 0.670637i
\(339\) −4.29097 + 31.9932i −0.233053 + 1.73763i
\(340\) 0.0256513 0.0148098i 0.00139113 0.000803172i
\(341\) 8.34198 14.4487i 0.451743 0.782442i
\(342\) 0.186412 + 0.709450i 0.0100800 + 0.0383627i
\(343\) 6.11820 17.4805i 0.330352 0.943858i
\(344\) 1.24061 0.0668891
\(345\) 2.08203 + 5.06117i 0.112093 + 0.272484i
\(346\) −7.79711 13.5050i −0.419175 0.726033i
\(347\) 0.436830 0.252204i 0.0234503 0.0135390i −0.488229 0.872716i \(-0.662357\pi\)
0.511679 + 0.859177i \(0.329024\pi\)
\(348\) −5.63751 + 2.31913i −0.302202 + 0.124318i
\(349\) −22.5405 −1.20656 −0.603282 0.797528i \(-0.706141\pi\)
−0.603282 + 0.797528i \(0.706141\pi\)
\(350\) 1.08494 9.62691i 0.0579927 0.514580i
\(351\) 5.52694 17.9012i 0.295006 0.955495i
\(352\) −1.85690 + 3.21624i −0.0989728 + 0.171426i
\(353\) 13.8668 8.00600i 0.738055 0.426116i −0.0833068 0.996524i \(-0.526548\pi\)
0.821362 + 0.570408i \(0.193215\pi\)
\(354\) 0.745560 5.55884i 0.0396260 0.295449i
\(355\) −14.7032 8.48889i −0.780364 0.450543i
\(356\) 9.37514i 0.496881i
\(357\) −0.112823 + 0.0322043i −0.00597121 + 0.00170443i
\(358\) 3.95866i 0.209222i
\(359\) 7.67875 13.3000i 0.405269 0.701947i −0.589084 0.808072i \(-0.700511\pi\)
0.994353 + 0.106125i \(0.0338445\pi\)
\(360\) −2.44214 2.46596i −0.128712 0.129967i
\(361\) 9.47011 + 16.4027i 0.498427 + 0.863300i
\(362\) 0.371664 + 0.214580i 0.0195342 + 0.0112781i
\(363\) −2.95345 + 3.82974i −0.155016 + 0.201009i
\(364\) −4.67263 8.31664i −0.244912 0.435911i
\(365\) 1.81458i 0.0949795i
\(366\) 18.9498 7.79545i 0.990520 0.407474i
\(367\) −27.0095 + 15.5939i −1.40988 + 0.813996i −0.995376 0.0960509i \(-0.969379\pi\)
−0.414506 + 0.910047i \(0.636045\pi\)
\(368\) −2.36531 + 1.36561i −0.123300 + 0.0711875i
\(369\) −0.372734 + 1.36454i −0.0194037 + 0.0710353i
\(370\) −11.0849 −0.576278
\(371\) −7.87407 18.0488i −0.408801 0.937048i
\(372\) −4.75181 + 6.16167i −0.246370 + 0.319468i
\(373\) 2.30810 3.99775i 0.119509 0.206996i −0.800064 0.599914i \(-0.795201\pi\)
0.919573 + 0.392919i \(0.128535\pi\)
\(374\) 0.0475426 + 0.0823462i 0.00245837 + 0.00425802i
\(375\) 2.30712 17.2018i 0.119139 0.888296i
\(376\) −0.203606 0.117552i −0.0105002 0.00606228i
\(377\) −12.6256 + 1.27335i −0.650249 + 0.0655809i
\(378\) 7.00909 + 11.8268i 0.360509 + 0.608304i
\(379\) 3.52362i 0.180996i 0.995897 + 0.0904982i \(0.0288459\pi\)
−0.995897 + 0.0904982i \(0.971154\pi\)
\(380\) 0.244969 + 0.141433i 0.0125666 + 0.00725535i
\(381\) −15.1590 2.03315i −0.776619 0.104161i
\(382\) −1.57425 + 0.908893i −0.0805456 + 0.0465030i
\(383\) −1.24813 0.720607i −0.0637763 0.0368213i 0.467773 0.883849i \(-0.345057\pi\)
−0.531549 + 0.847027i \(0.678390\pi\)
\(384\) 1.05774 1.37157i 0.0539774 0.0699924i
\(385\) −11.2956 1.27300i −0.575676 0.0648781i
\(386\) 19.7946i 1.00752i
\(387\) −3.59029 0.980711i −0.182505 0.0498523i
\(388\) 6.39773 + 11.0812i 0.324795 + 0.562562i
\(389\) −7.08963 + 4.09320i −0.359459 + 0.207533i −0.668843 0.743403i \(-0.733210\pi\)
0.309385 + 0.950937i \(0.399877\pi\)
\(390\) −3.40512 6.37184i −0.172425 0.322650i
\(391\) 0.0699283i 0.00353643i
\(392\) 6.82442 + 1.55800i 0.344685 + 0.0786908i
\(393\) −14.9575 + 19.3953i −0.754505 + 0.978366i
\(394\) −12.6222 + 21.8623i −0.635898 + 1.10141i
\(395\) 6.03661 3.48524i 0.303735 0.175362i
\(396\) 7.91627 7.83982i 0.397808 0.393966i
\(397\) −6.43999 + 11.1544i −0.323214 + 0.559823i −0.981149 0.193252i \(-0.938097\pi\)
0.657935 + 0.753074i \(0.271430\pi\)
\(398\) 6.16568i 0.309058i
\(399\) −0.805073 0.779327i −0.0403041 0.0390152i
\(400\) 3.66166 0.183083
\(401\) −4.27201 + 7.39934i −0.213334 + 0.369505i −0.952756 0.303737i \(-0.901766\pi\)
0.739422 + 0.673242i \(0.235099\pi\)
\(402\) 1.65927 12.3714i 0.0827567 0.617029i
\(403\) −13.1441 + 9.46558i −0.654755 + 0.471514i
\(404\) −5.03494 + 8.72077i −0.250498 + 0.433874i
\(405\) 5.11815 + 9.06696i 0.254323 + 0.450541i
\(406\) 5.52962 7.49197i 0.274431 0.371820i
\(407\) 35.5851i 1.76389i
\(408\) −0.0168711 0.0410116i −0.000835244 0.00203037i
\(409\) 10.1026 + 17.4982i 0.499542 + 0.865232i 1.00000 0.000529035i \(-0.000168397\pi\)
−0.500458 + 0.865761i \(0.666835\pi\)
\(410\) 0.272738 + 0.472395i 0.0134695 + 0.0233299i
\(411\) 8.83908 + 21.4867i 0.436000 + 1.05986i
\(412\) 10.1874i 0.501898i
\(413\) 3.42579 + 7.85256i 0.168572 + 0.386399i
\(414\) 7.92468 2.08225i 0.389477 0.102337i
\(415\) 2.10704 3.64949i 0.103430 0.179147i
\(416\) 2.92584 2.10701i 0.143451 0.103305i
\(417\) −3.46667 + 25.8472i −0.169763 + 1.26575i
\(418\) −0.454031 + 0.786404i −0.0222074 + 0.0384643i
\(419\) 2.16600 0.105816 0.0529081 0.998599i \(-0.483151\pi\)
0.0529081 + 0.998599i \(0.483151\pi\)
\(420\) 5.14240 + 1.28873i 0.250923 + 0.0628835i
\(421\) 14.2671i 0.695334i −0.937618 0.347667i \(-0.886974\pi\)
0.937618 0.347667i \(-0.113026\pi\)
\(422\) −1.99089 + 3.44833i −0.0969152 + 0.167862i
\(423\) 0.496305 + 0.501145i 0.0241312 + 0.0243665i
\(424\) 6.44560 3.72137i 0.313026 0.180726i
\(425\) 0.0468753 0.0811904i 0.00227379 0.00393831i
\(426\) −15.5230 + 20.1287i −0.752092 + 0.975237i
\(427\) −18.5871 + 25.1833i −0.899494 + 1.21871i
\(428\) 18.1776i 0.878648i
\(429\) 20.4550 10.9312i 0.987576 0.527762i
\(430\) −1.24293 + 0.717608i −0.0599396 + 0.0346061i
\(431\) 17.2738 + 29.9190i 0.832048 + 1.44115i 0.896412 + 0.443222i \(0.146165\pi\)
−0.0643642 + 0.997926i \(0.520502\pi\)
\(432\) −4.14530 + 3.13313i −0.199441 + 0.150743i
\(433\) 0.715483i 0.0343839i 0.999852 + 0.0171920i \(0.00547264\pi\)
−0.999852 + 0.0171920i \(0.994527\pi\)
\(434\) 1.33110 11.8111i 0.0638947 0.566950i
\(435\) 4.30662 5.58439i 0.206487 0.267751i
\(436\) −2.40616 1.38920i −0.115234 0.0665306i
\(437\) −0.578343 + 0.333907i −0.0276659 + 0.0159729i
\(438\) −2.69267 0.361144i −0.128661 0.0172561i
\(439\) 15.5035 + 8.95097i 0.739944 + 0.427207i 0.822049 0.569417i \(-0.192831\pi\)
−0.0821052 + 0.996624i \(0.526164\pi\)
\(440\) 4.29635i 0.204821i
\(441\) −18.5181 9.90356i −0.881813 0.471598i
\(442\) −0.00926333 0.0918479i −0.000440612 0.00436876i
\(443\) −14.3289 8.27278i −0.680785 0.393052i 0.119366 0.992850i \(-0.461914\pi\)
−0.800151 + 0.599799i \(0.795247\pi\)
\(444\) −2.20616 + 16.4490i −0.104700 + 0.780635i
\(445\) 5.42288 + 9.39271i 0.257069 + 0.445257i
\(446\) 1.01738 1.76216i 0.0481745 0.0834407i
\(447\) −9.99775 + 12.9641i −0.472877 + 0.613180i
\(448\) −0.296298 + 2.62911i −0.0139988 + 0.124214i
\(449\) 26.7037 1.26023 0.630113 0.776503i \(-0.283009\pi\)
0.630113 + 0.776503i \(0.283009\pi\)
\(450\) −10.5968 2.89458i −0.499536 0.136452i
\(451\) −1.51649 + 0.875548i −0.0714089 + 0.0412279i
\(452\) 16.1398 9.31833i 0.759153 0.438297i
\(453\) 24.0075 9.87608i 1.12797 0.464019i
\(454\) 18.0139i 0.845433i
\(455\) 9.49200 + 5.62943i 0.444992 + 0.263912i
\(456\) 0.258628 0.335362i 0.0121114 0.0157048i
\(457\) −32.4759 18.7500i −1.51916 0.877087i −0.999745 0.0225635i \(-0.992817\pi\)
−0.519413 0.854523i \(-0.673849\pi\)
\(458\) −9.36691 16.2240i −0.437687 0.758096i
\(459\) 0.0164046 + 0.132023i 0.000765700 + 0.00616232i
\(460\) 1.57983 2.73634i 0.0736599 0.127583i
\(461\) 8.31097i 0.387080i −0.981092 0.193540i \(-0.938003\pi\)
0.981092 0.193540i \(-0.0619970\pi\)
\(462\) −4.13710 + 16.5082i −0.192475 + 0.768032i
\(463\) 28.8122i 1.33902i 0.742805 + 0.669508i \(0.233495\pi\)
−0.742805 + 0.669508i \(0.766505\pi\)
\(464\) 3.04794 + 1.75973i 0.141497 + 0.0816935i
\(465\) 1.19661 8.92182i 0.0554913 0.413739i
\(466\) 17.0834 9.86309i 0.791372 0.456899i
\(467\) −10.3800 + 17.9787i −0.480328 + 0.831953i −0.999745 0.0225677i \(-0.992816\pi\)
0.519417 + 0.854521i \(0.326149\pi\)
\(468\) −10.1329 + 3.78473i −0.468394 + 0.174949i
\(469\) 7.62422 + 17.4761i 0.352054 + 0.806972i
\(470\) 0.271983 0.0125457
\(471\) 2.78137 1.14418i 0.128159 0.0527212i
\(472\) −2.80431 + 1.61907i −0.129079 + 0.0745237i
\(473\) −2.30368 3.99009i −0.105923 0.183465i
\(474\) −3.97034 9.65142i −0.182364 0.443304i
\(475\) 0.895316 0.0410799
\(476\) 0.0545023 + 0.0402267i 0.00249811 + 0.00184379i
\(477\) −21.5952 + 5.67426i −0.988776 + 0.259806i
\(478\) −10.0708 + 17.4432i −0.460629 + 0.797833i
\(479\) −15.1644 + 8.75519i −0.692881 + 0.400035i −0.804690 0.593695i \(-0.797669\pi\)
0.111809 + 0.993730i \(0.464335\pi\)
\(480\) −0.266360 + 1.98597i −0.0121576 + 0.0906465i
\(481\) −14.1845 + 31.5017i −0.646757 + 1.43636i
\(482\) −22.2718 −1.01445
\(483\) −8.70522 + 8.99280i −0.396101 + 0.409187i
\(484\) 2.79224 0.126920
\(485\) −12.8194 7.40130i −0.582101 0.336076i
\(486\) 14.4732 5.79031i 0.656516 0.262654i
\(487\) −0.122893 + 0.0709520i −0.00556879 + 0.00321514i −0.502782 0.864413i \(-0.667690\pi\)
0.497213 + 0.867628i \(0.334357\pi\)
\(488\) −10.2453 5.91511i −0.463782 0.267765i
\(489\) 17.4487 + 13.4562i 0.789056 + 0.608511i
\(490\) −7.73840 + 2.38654i −0.349585 + 0.107813i
\(491\) 10.0187i 0.452138i 0.974111 + 0.226069i \(0.0725875\pi\)
−0.974111 + 0.226069i \(0.927413\pi\)
\(492\) 0.755272 0.310699i 0.0340503 0.0140074i
\(493\) 0.0780373 0.0450549i 0.00351463 0.00202917i
\(494\) 0.715398 0.515185i 0.0321873 0.0231793i
\(495\) −3.39630 + 12.4335i −0.152652 + 0.558846i
\(496\) 4.49243 0.201716
\(497\) 4.34837 38.5839i 0.195051 1.73073i
\(498\) −4.99616 3.85298i −0.223883 0.172656i
\(499\) 9.05469 + 5.22772i 0.405343 + 0.234025i 0.688787 0.724964i \(-0.258144\pi\)
−0.283444 + 0.958989i \(0.591477\pi\)
\(500\) −8.67790 + 5.01019i −0.388087 + 0.224062i
\(501\) 1.57842 11.7686i 0.0705186 0.525782i
\(502\) 10.2782 17.8023i 0.458737 0.794556i
\(503\) −13.6155 −0.607083 −0.303542 0.952818i \(-0.598169\pi\)
−0.303542 + 0.952818i \(0.598169\pi\)
\(504\) 2.93581 7.37435i 0.130771 0.328480i
\(505\) 11.6495i 0.518395i
\(506\) 8.78427 + 5.07160i 0.390508 + 0.225460i
\(507\) −22.4651 + 1.52332i −0.997709 + 0.0676530i
\(508\) 4.41521 + 7.64737i 0.195893 + 0.339297i
\(509\) −8.06558 4.65666i −0.357500 0.206403i 0.310483 0.950579i \(-0.399509\pi\)
−0.667984 + 0.744176i \(0.732842\pi\)
\(510\) 0.0406251 + 0.0313296i 0.00179891 + 0.00138730i
\(511\) 3.80373 1.65943i 0.168267 0.0734090i
\(512\) −1.00000 −0.0441942
\(513\) −1.01357 + 0.766084i −0.0447502 + 0.0338234i
\(514\) −5.10857 8.84830i −0.225329 0.390282i
\(515\) 5.89273 + 10.2065i 0.259665 + 0.449753i
\(516\) 0.817490 + 1.98722i 0.0359880 + 0.0874824i
\(517\) 0.873127i 0.0384001i
\(518\) −10.1372 23.2363i −0.445401 1.02094i
\(519\) 16.4946 21.3885i 0.724032 0.938851i
\(520\) −1.71256 + 3.80335i −0.0751007 + 0.166788i
\(521\) 6.86110 + 11.8838i 0.300590 + 0.520637i 0.976270 0.216558i \(-0.0694830\pi\)
−0.675680 + 0.737195i \(0.736150\pi\)
\(522\) −7.42960 7.50205i −0.325185 0.328356i
\(523\) −23.6617 13.6611i −1.03465 0.597358i −0.116340 0.993209i \(-0.537116\pi\)
−0.918315 + 0.395851i \(0.870450\pi\)
\(524\) 14.1410 0.617753
\(525\) 16.1354 4.60571i 0.704206 0.201010i
\(526\) 28.1563i 1.22768i
\(527\) 0.0575105 0.0996111i 0.00250520 0.00433913i
\(528\) −6.37539 0.855076i −0.277453 0.0372124i
\(529\) −7.77021 13.4584i −0.337835 0.585147i
\(530\) −4.30512 + 7.45669i −0.187003 + 0.323898i
\(531\) 9.39549 2.46872i 0.407729 0.107133i
\(532\) −0.0724480 + 0.642845i −0.00314102 + 0.0278709i
\(533\) 1.69148 0.170594i 0.0732661 0.00738925i
\(534\) 15.0172 6.17768i 0.649857 0.267334i
\(535\) −10.5145 18.2117i −0.454582 0.787360i
\(536\) −6.24108 + 3.60329i −0.269574 + 0.155638i
\(537\) 6.34101 2.60853i 0.273635 0.112566i
\(538\) 29.3643 1.26599
\(539\) −7.66133 24.8420i −0.329997 1.07002i
\(540\) 2.34076 5.53678i 0.100730 0.238265i
\(541\) −5.89940 3.40602i −0.253635 0.146436i 0.367793 0.929908i \(-0.380114\pi\)
−0.621428 + 0.783472i \(0.713447\pi\)
\(542\) −14.2082 24.6093i −0.610293 1.05706i
\(543\) −0.0988114 + 0.736731i −0.00424040 + 0.0316162i
\(544\) −0.0128016 + 0.0221731i −0.000548866 + 0.000950663i
\(545\) 3.21423 0.137682
\(546\) 10.2427 12.9649i 0.438346 0.554845i
\(547\) 14.2644 0.609901 0.304951 0.952368i \(-0.401360\pi\)
0.304951 + 0.952368i \(0.401360\pi\)
\(548\) 6.70701 11.6169i 0.286509 0.496249i
\(549\) 24.9736 + 25.2172i 1.06585 + 1.07624i
\(550\) −6.79933 11.7768i −0.289924 0.502164i
\(551\) 0.745255 + 0.430273i 0.0317489 + 0.0183302i
\(552\) −3.74606 2.88892i −0.159443 0.122960i
\(553\) 12.8263 + 9.46672i 0.545428 + 0.402566i
\(554\) −27.6535 −1.17489
\(555\) −7.30434 17.7559i −0.310052 0.753698i
\(556\) 13.0393 7.52827i 0.552991 0.319270i
\(557\) 10.8866 + 18.8561i 0.461279 + 0.798958i 0.999025 0.0441487i \(-0.0140575\pi\)
−0.537746 + 0.843107i \(0.680724\pi\)
\(558\) −13.0010 3.55130i −0.550376 0.150339i
\(559\) 0.448855 + 4.45050i 0.0189846 + 0.188236i
\(560\) −1.22391 2.80542i −0.0517195 0.118551i
\(561\) −0.100575 + 0.130416i −0.00424628 + 0.00550615i
\(562\) −6.18049 + 10.7049i −0.260708 + 0.451560i
\(563\) 5.19862 + 9.00428i 0.219096 + 0.379485i 0.954532 0.298109i \(-0.0963560\pi\)
−0.735436 + 0.677594i \(0.763023\pi\)
\(564\) 0.0541311 0.403598i 0.00227933 0.0169945i
\(565\) −10.7800 + 18.6716i −0.453520 + 0.785520i
\(566\) 13.6723i 0.574690i
\(567\) −14.3256 + 19.0204i −0.601621 + 0.798782i
\(568\) 14.6757 0.615778
\(569\) −14.6618 8.46500i −0.614655 0.354871i 0.160130 0.987096i \(-0.448809\pi\)
−0.774785 + 0.632225i \(0.782142\pi\)
\(570\) −0.0651280 + 0.485590i −0.00272791 + 0.0203391i
\(571\) 8.19990 + 14.2026i 0.343155 + 0.594362i 0.985017 0.172458i \(-0.0551710\pi\)
−0.641862 + 0.766820i \(0.721838\pi\)
\(572\) −12.2096 5.49769i −0.510509 0.229870i
\(573\) −2.49321 1.92274i −0.104156 0.0803236i
\(574\) −0.740818 + 1.00372i −0.0309211 + 0.0418944i
\(575\) 10.0008i 0.417063i
\(576\) 2.89398 + 0.790508i 0.120582 + 0.0329378i
\(577\) −11.8397 20.5070i −0.492894 0.853718i 0.507072 0.861904i \(-0.330728\pi\)
−0.999966 + 0.00818553i \(0.997394\pi\)
\(578\) −8.49967 14.7219i −0.353540 0.612349i
\(579\) −31.7071 + 13.0435i −1.31770 + 0.542069i
\(580\) −4.07154 −0.169062
\(581\) 9.57696 + 1.07931i 0.397319 + 0.0447775i
\(582\) −13.5342 + 17.5498i −0.561011 + 0.727463i
\(583\) −23.9376 13.8204i −0.991395 0.572382i
\(584\) 0.784266 + 1.35839i 0.0324532 + 0.0562106i
\(585\) 7.96269 9.65302i 0.329217 0.399103i
\(586\) 3.64292 + 2.10324i 0.150488 + 0.0868842i
\(587\) 43.3060i 1.78743i 0.448633 + 0.893716i \(0.351911\pi\)
−0.448633 + 0.893716i \(0.648089\pi\)
\(588\) 2.00128 + 11.9580i 0.0825316 + 0.493141i
\(589\) 1.09845 0.0452607
\(590\) 1.87304 3.24421i 0.0771120 0.133562i
\(591\) −43.3366 5.81236i −1.78263 0.239089i
\(592\) 8.29815 4.79094i 0.341052 0.196906i
\(593\) −18.9754 10.9554i −0.779226 0.449886i 0.0569301 0.998378i \(-0.481869\pi\)
−0.836156 + 0.548492i \(0.815202\pi\)
\(594\) 17.7743 + 7.51436i 0.729287 + 0.308318i
\(595\) −0.0778729 0.00877620i −0.00319248 0.000359789i
\(596\) 9.45202 0.387170
\(597\) −9.87624 + 4.06283i −0.404208 + 0.166281i
\(598\) −5.75471 7.99112i −0.235328 0.326781i
\(599\) −39.3065 + 22.6936i −1.60602 + 0.927237i −0.615773 + 0.787923i \(0.711156\pi\)
−0.990248 + 0.139314i \(0.955510\pi\)
\(600\) 2.41283 + 5.86529i 0.0985033 + 0.239449i
\(601\) 8.20455i 0.334671i −0.985900 0.167335i \(-0.946484\pi\)
0.985900 0.167335i \(-0.0535163\pi\)
\(602\) −2.64091 1.94919i −0.107636 0.0794430i
\(603\) 20.9100 5.49421i 0.851520 0.223741i
\(604\) −12.9798 7.49388i −0.528140 0.304922i
\(605\) −2.79747 + 1.61512i −0.113733 + 0.0656640i
\(606\) −17.2867 2.31852i −0.702226 0.0941835i
\(607\) −24.0464 13.8832i −0.976012 0.563501i −0.0749481 0.997187i \(-0.523879\pi\)
−0.901064 + 0.433687i \(0.857212\pi\)
\(608\) −0.244511 −0.00991621
\(609\) 15.6444 + 3.92062i 0.633944 + 0.158872i
\(610\) 13.6860 0.554129
\(611\) 0.348035 0.772937i 0.0140800 0.0312697i
\(612\) 0.0545756 0.0540486i 0.00220609 0.00218478i
\(613\) −15.8517 + 9.15200i −0.640245 + 0.369646i −0.784709 0.619864i \(-0.787188\pi\)
0.144464 + 0.989510i \(0.453854\pi\)
\(614\) 10.5746 18.3157i 0.426756 0.739163i
\(615\) −0.576969 + 0.748155i −0.0232656 + 0.0301685i
\(616\) 9.00603 3.92901i 0.362863 0.158304i
\(617\) 22.1693 0.892502 0.446251 0.894908i \(-0.352759\pi\)
0.446251 + 0.894908i \(0.352759\pi\)
\(618\) 16.3183 6.71293i 0.656419 0.270034i
\(619\) 19.7675 + 34.2384i 0.794525 + 1.37616i 0.923140 + 0.384463i \(0.125613\pi\)
−0.128616 + 0.991695i \(0.541053\pi\)
\(620\) −4.50085 + 2.59857i −0.180759 + 0.104361i
\(621\) 8.55728 + 11.3217i 0.343392 + 0.454326i
\(622\) 31.3509 1.25706
\(623\) −14.7298 + 19.9571i −0.590137 + 0.799564i
\(624\) 5.30298 + 3.29824i 0.212289 + 0.132035i
\(625\) −3.35805 + 5.81632i −0.134322 + 0.232653i
\(626\) 28.3855 16.3884i 1.13451 0.655011i
\(627\) −1.55885 0.209075i −0.0622545 0.00834965i
\(628\) −1.50376 0.868197i −0.0600066 0.0346448i
\(629\) 0.245327i 0.00978184i
\(630\) 1.32425 + 9.08634i 0.0527594 + 0.362008i
\(631\) 38.3301i 1.52590i −0.646460 0.762948i \(-0.723751\pi\)
0.646460 0.762948i \(-0.276249\pi\)
\(632\) −3.01266 + 5.21808i −0.119837 + 0.207564i
\(633\) −6.83545 0.916780i −0.271685 0.0364387i
\(634\) 11.1137 + 19.2495i 0.441382 + 0.764497i
\(635\) −8.84697 5.10780i −0.351081 0.202697i
\(636\) 10.2082 + 7.87246i 0.404782 + 0.312163i
\(637\) −3.12000 + 25.0453i −0.123619 + 0.992330i
\(638\) 13.0706i 0.517468i
\(639\) −42.4711 11.6012i −1.68013 0.458938i
\(640\) 1.00187 0.578432i 0.0396026 0.0228645i
\(641\) 13.7967 7.96553i 0.544937 0.314620i −0.202140 0.979357i \(-0.564790\pi\)
0.747077 + 0.664737i \(0.231456\pi\)
\(642\) −29.1171 + 11.9780i −1.14916 + 0.472734i
\(643\) 20.5219 0.809303 0.404652 0.914471i \(-0.367393\pi\)
0.404652 + 0.914471i \(0.367393\pi\)
\(644\) 7.18068 + 0.809256i 0.282959 + 0.0318892i
\(645\) −1.96849 1.51808i −0.0775094 0.0597743i
\(646\) −0.00313014 + 0.00542155i −0.000123154 + 0.000213308i
\(647\) −17.2187 29.8237i −0.676938 1.17249i −0.975898 0.218226i \(-0.929973\pi\)
0.298960 0.954266i \(-0.403360\pi\)
\(648\) −7.75019 4.57542i −0.304456 0.179740i
\(649\) 10.4146 + 6.01288i 0.408809 + 0.236026i
\(650\) 1.32480 + 13.1357i 0.0519629 + 0.515224i
\(651\) 19.7962 5.65067i 0.775875 0.221467i
\(652\) 12.7217i 0.498221i
\(653\) −15.3842 8.88210i −0.602032 0.347583i 0.167808 0.985820i \(-0.446331\pi\)
−0.769841 + 0.638236i \(0.779664\pi\)
\(654\) 0.639708 4.76962i 0.0250145 0.186507i
\(655\) −14.1675 + 8.17963i −0.553571 + 0.319604i
\(656\) −0.408341 0.235756i −0.0159430 0.00920472i
\(657\) −1.19583 4.55112i −0.0466538 0.177556i
\(658\) 0.248729 + 0.570132i 0.00969646 + 0.0222261i
\(659\) 9.50676i 0.370331i 0.982707 + 0.185165i \(0.0592821\pi\)
−0.982707 + 0.185165i \(0.940718\pi\)
\(660\) 6.88194 2.83105i 0.267879 0.110199i
\(661\) 17.2613 + 29.8975i 0.671387 + 1.16288i 0.977511 + 0.210885i \(0.0676345\pi\)
−0.306124 + 0.951992i \(0.599032\pi\)
\(662\) 16.0419 9.26179i 0.623486 0.359970i
\(663\) 0.141019 0.0753607i 0.00547672 0.00292677i
\(664\) 3.64267i 0.141363i
\(665\) −0.299258 0.685956i −0.0116047 0.0266002i
\(666\) −27.8019 + 7.30510i −1.07730 + 0.283067i
\(667\) 4.80622 8.32462i 0.186098 0.322331i
\(668\) −5.93699 + 3.42772i −0.229709 + 0.132622i
\(669\) 3.49304 + 0.468492i 0.135049 + 0.0181129i
\(670\) 4.16852 7.22009i 0.161044 0.278936i
\(671\) 43.9350i 1.69609i
\(672\) −4.40657 + 1.25782i −0.169987 + 0.0485214i
\(673\) −30.8952 −1.19092 −0.595460 0.803385i \(-0.703030\pi\)
−0.595460 + 0.803385i \(0.703030\pi\)
\(674\) −8.97860 + 15.5514i −0.345843 + 0.599017i
\(675\) −2.34611 18.8814i −0.0903017 0.726744i
\(676\) 8.61715 + 9.73369i 0.331429 + 0.374373i
\(677\) 23.5469 40.7844i 0.904979 1.56747i 0.0840345 0.996463i \(-0.473219\pi\)
0.820945 0.571007i \(-0.193447\pi\)
\(678\) 25.5614 + 19.7127i 0.981680 + 0.757061i
\(679\) 3.79127 33.6406i 0.145495 1.29101i
\(680\) 0.0296195i 0.00113586i
\(681\) 28.8548 11.8701i 1.10572 0.454864i
\(682\) −8.34198 14.4487i −0.319431 0.553270i
\(683\) 7.64632 + 13.2438i 0.292578 + 0.506760i 0.974419 0.224741i \(-0.0721535\pi\)
−0.681840 + 0.731501i \(0.738820\pi\)
\(684\) 0.707608 + 0.193288i 0.0270561 + 0.00739054i
\(685\) 15.5182i 0.592920i
\(686\) −12.0794 14.0388i −0.461195 0.536003i
\(687\) 19.8155 25.6947i 0.756007 0.980313i
\(688\) 0.620304 1.07440i 0.0236489 0.0409610i
\(689\) 15.6819 + 21.7762i 0.597433 + 0.829609i
\(690\) 5.42412 + 0.727490i 0.206493 + 0.0276951i
\(691\) −6.72191 + 11.6427i −0.255713 + 0.442909i −0.965089 0.261922i \(-0.915644\pi\)
0.709376 + 0.704831i \(0.248977\pi\)
\(692\) −15.5942 −0.592803
\(693\) −29.1691 + 4.25113i −1.10804 + 0.161487i
\(694\) 0.504408i 0.0191471i
\(695\) −8.70919 + 15.0848i −0.330358 + 0.572197i
\(696\) −0.810333 + 6.04179i −0.0307156 + 0.229013i
\(697\) −0.0104549 + 0.00603612i −0.000396006 + 0.000228634i
\(698\) −11.2702 + 19.5206i −0.426585 + 0.738866i
\(699\) 27.0558 + 20.8651i 1.02334 + 0.789190i
\(700\) −7.79468 5.75304i −0.294611 0.217445i
\(701\) 44.2310i 1.67058i 0.549809 + 0.835290i \(0.314700\pi\)
−0.549809 + 0.835290i \(0.685300\pi\)
\(702\) −12.7394 13.7371i −0.480819 0.518472i
\(703\) 2.02898 1.17143i 0.0765246 0.0441815i
\(704\) 1.85690 + 3.21624i 0.0699844 + 0.121216i
\(705\) 0.179222 + 0.435666i 0.00674988 + 0.0164081i
\(706\) 16.0120i 0.602619i
\(707\) 24.4197 10.6534i 0.918397 0.400664i
\(708\) −4.44132 3.42509i −0.166915 0.128723i
\(709\) 34.4905 + 19.9131i 1.29532 + 0.747852i 0.979592 0.200998i \(-0.0644185\pi\)
0.315726 + 0.948850i \(0.397752\pi\)
\(710\) −14.7032 + 8.48889i −0.551801 + 0.318582i
\(711\) 12.8435 12.7195i 0.481669 0.477017i
\(712\) −8.11911 4.68757i −0.304276 0.175674i
\(713\) 12.2698i 0.459509i
\(714\) −0.0285216 + 0.113809i −0.00106739 + 0.00425921i
\(715\) 15.4125 1.55443i 0.576396 0.0581325i
\(716\) −3.42830 1.97933i −0.128121 0.0739710i
\(717\) −34.5768 4.63748i −1.29129 0.173190i
\(718\) −7.67875 13.3000i −0.286569 0.496351i
\(719\) −13.8793 + 24.0396i −0.517609 + 0.896525i 0.482182 + 0.876071i \(0.339845\pi\)
−0.999791 + 0.0204540i \(0.993489\pi\)
\(720\) −3.35666 + 0.881980i −0.125095 + 0.0328694i
\(721\) −16.0060 + 21.6862i −0.596095 + 0.807637i
\(722\) 18.9402 0.704882
\(723\) −14.6759 35.6752i −0.545801 1.32677i
\(724\) 0.371664 0.214580i 0.0138128 0.00797481i
\(725\) −11.1605 + 6.44355i −0.414492 + 0.239307i
\(726\) 1.83993 + 4.47264i 0.0682861 + 0.165995i
\(727\) 34.8578i 1.29281i 0.762996 + 0.646403i \(0.223727\pi\)
−0.762996 + 0.646403i \(0.776273\pi\)
\(728\) −9.53874 0.111706i −0.353529 0.00414012i
\(729\) 18.8120 + 19.3678i 0.696739 + 0.717324i
\(730\) −1.57147 0.907290i −0.0581628 0.0335803i
\(731\) −0.0158818 0.0275081i −0.000587410 0.00101742i
\(732\) 2.72383 20.3087i 0.100676 0.750631i
\(733\) −17.9806 + 31.1434i −0.664130 + 1.15031i 0.315390 + 0.948962i \(0.397865\pi\)
−0.979520 + 0.201345i \(0.935469\pi\)
\(734\) 31.1878i 1.15116i
\(735\) −8.92196 10.8229i −0.329091 0.399207i
\(736\) 2.73122i 0.100674i
\(737\) 23.1781 + 13.3819i 0.853775 + 0.492927i
\(738\) 0.995362 + 1.00507i 0.0366398 + 0.0369971i
\(739\) 23.0900 13.3310i 0.849378 0.490389i −0.0110630 0.999939i \(-0.503522\pi\)
0.860441 + 0.509550i \(0.170188\pi\)
\(740\) −5.54247 + 9.59983i −0.203745 + 0.352897i
\(741\) 1.29664 + 0.806454i 0.0476331 + 0.0296258i
\(742\) −19.5678 2.20527i −0.718355 0.0809579i
\(743\) −24.5770 −0.901644 −0.450822 0.892614i \(-0.648869\pi\)
−0.450822 + 0.892614i \(0.648869\pi\)
\(744\) 2.96026 + 7.19602i 0.108528 + 0.263819i
\(745\) −9.46974 + 5.46736i −0.346944 + 0.200308i
\(746\) −2.30810 3.99775i −0.0845057 0.146368i
\(747\) 2.87956 10.5418i 0.105357 0.385704i
\(748\) 0.0950852 0.00347666
\(749\) 28.5599 38.6951i 1.04355 1.41389i
\(750\) −13.7436 10.5989i −0.501846 0.387018i
\(751\) −0.764556 + 1.32425i −0.0278990 + 0.0483226i −0.879638 0.475644i \(-0.842215\pi\)
0.851739 + 0.523967i \(0.175548\pi\)
\(752\) −0.203606 + 0.117552i −0.00742475 + 0.00428668i
\(753\) 35.2886 + 4.73296i 1.28599 + 0.172479i
\(754\) −5.21002 + 11.5707i −0.189738 + 0.421381i
\(755\) 17.3388 0.631024
\(756\) 13.7468 0.156667i 0.499968 0.00569793i
\(757\) −20.0619 −0.729164 −0.364582 0.931171i \(-0.618788\pi\)
−0.364582 + 0.931171i \(0.618788\pi\)
\(758\) 3.05155 + 1.76181i 0.110837 + 0.0639919i
\(759\) −2.33540 + 17.4126i −0.0847698 + 0.632038i
\(760\) 0.244969 0.141433i 0.00888596 0.00513031i
\(761\) −19.1290 11.0442i −0.693427 0.400350i 0.111468 0.993768i \(-0.464445\pi\)
−0.804895 + 0.593418i \(0.797778\pi\)
\(762\) −9.34026 + 12.1115i −0.338362 + 0.438754i
\(763\) 2.93941 + 6.73768i 0.106414 + 0.243920i
\(764\) 1.81779i 0.0657652i
\(765\) −0.0234145 + 0.0857182i −0.000846552 + 0.00309915i
\(766\) −1.24813 + 0.720607i −0.0450967 + 0.0260366i
\(767\) −6.82278 9.47426i −0.246356 0.342096i
\(768\) −0.658943 1.60181i −0.0237776 0.0578003i
\(769\) 33.5491 1.20981 0.604906 0.796297i \(-0.293211\pi\)
0.604906 + 0.796297i \(0.293211\pi\)
\(770\) −6.75024 + 9.14576i −0.243262 + 0.329590i
\(771\) 10.8070 14.0135i 0.389206 0.504683i
\(772\) 17.1426 + 9.89729i 0.616976 + 0.356211i
\(773\) 39.2647 22.6695i 1.41225 0.815365i 0.416654 0.909065i \(-0.363203\pi\)
0.995601 + 0.0936997i \(0.0298694\pi\)
\(774\) −2.64447 + 2.61893i −0.0950533 + 0.0941354i